Question

A pan is half filled with grape juice and sugar syrup in the ratio of 2:3 by volume. if the grape juice is poured till it its full,what part of the resulting mixture is grape
juice.

Answer 1

7part out of 10 is grape juice in mixture

Answer 2

Answer:

Grape juice is $\frac{7}{10} th$ part of the resulting mixture.

Step-by-step explanation:

Given that,

A pan is half filled with grape juice and sugar syrup in the ratio of 2:3 by volume.

We have to find what part of the resulting mixture is grape juice,if grape juice is poured till full.

Let us assume that the volume of the container is 100ml.

As it is half filled with grape juice and sugar syrup in ratio 2:3,

The volume of grape juice is

$\frac{2}{2+3} \times\frac{100}{2}=20ml$

And the volume of sugar syrup is

$\frac{3}{2+3} \times\frac{100}{2}=30ml$

Now grape juice is poured until full volume.Therefore,

Volume of grape juice added is $V=\frac{100}{2}=50ml$ and hence the final volume of the contents is

$V_{sugar\:syrup}=30ml\\V_{grape\:juice}=20+50=70ml$

Therefore,grape juice is $\frac{7}{10} th$ part of the resulting mixture.

#SPJ2